As an extension of Gabor signal processing, the covariant Weyl-Heisenberg integral quantization is implemented to transform functions on the eight-dimensional phase space (x,k) into Hilbertian operators. The x=(x^{\mu}) are space-time variables and the k=(k^{\mu}) are their conjugate wave vector-frequency variables. The procedure is first applied to the variables (x,k) and produces canonically conjugate essentially self-adjoint operators. It is next applied to the metric field g_{\mu\nu}(x) of general relativity and yields regularised semi-classical phase space portraits of it. The latter give rise to modified tensor energy density. Examples are given with the uniformly accelerated reference system and the Schwarzschild metric. Interesting probabilistic aspects are discussed.
Dates:
Tuesday, 31 May, 2022 - 13:30 to 15:00
Localisation / Location:
APC
Salle / Local:
seminar room 483A, contact roperpol@apc.in2p3.fr for Zoom meeting details
- Séminaire
Nom/Prénom // Last name/First name:
Jean Pierre Gazeau
Affiliation:
APC
Equipe(s) organisatrice(s) / Organizing team(s):
- Théorie
Pays / Country:
France